{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 11 ``matplotlib`` 基础"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.        ,  0.1010101 ,  0.2020202 ,  0.3030303 ,  0.4040404 ,\n",
       "        0.50505051,  0.60606061,  0.70707071,  0.80808081,  0.90909091,\n",
       "        1.01010101,  1.11111111,  1.21212121,  1.31313131,  1.41414141,\n",
       "        1.51515152,  1.61616162,  1.71717172,  1.81818182,  1.91919192,\n",
       "        2.02020202,  2.12121212,  2.22222222,  2.32323232,  2.42424242,\n",
       "        2.52525253,  2.62626263,  2.72727273,  2.82828283,  2.92929293,\n",
       "        3.03030303,  3.13131313,  3.23232323,  3.33333333,  3.43434343,\n",
       "        3.53535354,  3.63636364,  3.73737374,  3.83838384,  3.93939394,\n",
       "        4.04040404,  4.14141414,  4.24242424,  4.34343434,  4.44444444,\n",
       "        4.54545455,  4.64646465,  4.74747475,  4.84848485,  4.94949495,\n",
       "        5.05050505,  5.15151515,  5.25252525,  5.35353535,  5.45454545,\n",
       "        5.55555556,  5.65656566,  5.75757576,  5.85858586,  5.95959596,\n",
       "        6.06060606,  6.16161616,  6.26262626,  6.36363636,  6.46464646,\n",
       "        6.56565657,  6.66666667,  6.76767677,  6.86868687,  6.96969697,\n",
       "        7.07070707,  7.17171717,  7.27272727,  7.37373737,  7.47474747,\n",
       "        7.57575758,  7.67676768,  7.77777778,  7.87878788,  7.97979798,\n",
       "        8.08080808,  8.18181818,  8.28282828,  8.38383838,  8.48484848,\n",
       "        8.58585859,  8.68686869,  8.78787879,  8.88888889,  8.98989899,\n",
       "        9.09090909,  9.19191919,  9.29292929,  9.39393939,  9.49494949,\n",
       "        9.5959596 ,  9.6969697 ,  9.7979798 ,  9.8989899 , 10.        ])"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import numpy as np \n",
    "# 对0到10分成100份\n",
    "x = np.linspace(0, 10, 100)\n",
    "x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "y = np.sin(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib as mpl\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "plt.plot(x, y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "plt.plot(x,y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "siny = y.copy()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "cosy = np.cos(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, siny)\n",
    "plt.plot(x, cosy)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, siny)\n",
    "plt.plot(x, cosy, color=\"red\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "关于color参数：[https://matplotlib.org/2.0.2/api/colors_api.html](https://matplotlib.org/2.0.2/api/colors_api.html)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, siny)\n",
    "plt.plot(x, cosy, color=\"red\", linestyle=\"--\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "关于linestyle参数：[https://matplotlib.org/devdocs/gallery/lines_bars_and_markers/line_styles_reference.html](https://matplotlib.org/devdocs/gallery/lines_bars_and_markers/line_styles_reference.html)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, siny)\n",
    "# colors修改颜色\n",
    "# linestyle 线条类型\n",
    "plt.plot(x, cosy, color=\"red\", linestyle=\"--\")\n",
    "# 坐标轴的范围\n",
    "plt.xlim(-5, 15)\n",
    "plt.ylim(0, 1)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, siny)\n",
    "plt.plot(x, cosy, color=\"red\", linestyle=\"--\")\n",
    "plt.axis([-1, 11, -2, 2])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, siny)\n",
    "plt.plot(x, cosy, color=\"red\", linestyle=\"--\")\n",
    "plt.xlabel(\"x axis\")\n",
    "plt.ylabel(\"y value\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, siny, label=\"sin(x)\")\n",
    "plt.plot(x, cosy, color=\"red\", linestyle=\"--\", label=\"cos(x)\")\n",
    "plt.xlabel(\"x axis\")\n",
    "plt.ylabel(\"y value\")\n",
    "# 激活加上图示\n",
    "plt.legend()\n",
    "plt.title(\"welcome to the ml world!\")\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, siny, label=\"sin(x)\")\n",
    "plt.plot(x, cosy, color=\"red\", linestyle=\"--\", label=\"cos(x)\")\n",
    "plt.xlabel(\"x axis\")\n",
    "plt.ylabel(\"y value\")\n",
    "plt.legend()\n",
    "plt.title(\"Welcome to matplotlib world!\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x,siny,label=\"sin(x)\")\n",
    "plt.plot(x,cosy,color=\"red\",linestyle=\"--\",label=\"cos(x)\")\n",
    "plt.xlabel(\"x\")\n",
    "plt.ylabel(\"y\")\n",
    "plt.legend()\n",
    "plt.title(\"Welcome to matplotlib world!\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Scatter Plot(散点图)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Scatter Plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1122fc518>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(x, siny)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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qmewMygKj+DoocmPYwPva/JWGr/JnGoAOlU12hr0iXwdFbowa+Eqi3TjG1FG+yp9pADrU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\niKfQABBCiKfQABBCiKf8f7ZeU5p0STJ2AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11230bb38>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(x, siny)\n",
    "plt.scatter(x, cosy, color=\"red\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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b1bIrDhcNt7ZC8kGCknC89OWOjXEM0pBla2m15mhe8XHopQHGacQgVkyWLW1n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\nxfj/AZbauSsXet+IAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11230b780>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.random.normal(0, 1, 10000)\n",
    "y = np.random.normal(0, 1, 10000)\n",
    "\n",
    "plt.scatter(x, y, alpha=0.1)\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
